Finding the Fourth Proportional to 115.92, 173.76 and 51.78
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Solution
The fourth proportional to 115.92, 173.76 and 51.78 is: 77.62
Step by Step Solution
- Step 1: Write the proportion equation
115.92 : 173.76 = 51.78 : x - Step 2: Convert to fraction form
115.92/173.76 = 51.78/x - Step 3: Cross multiply
115.92x = 173.76 × 51.78 - Step 4: Simplify right side
115.92x = 8,997.29 - Step 5: Solve for x
x = 8,997.29/115.92 - Step 6: Final answer
x = 77.62
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.